The Expected Redshift Distribution of Gamma-Ray Bursts

We predict the redshift distribution of Gamma-Ray Bursts (GRBs) assuming that they trace the cosmic star formation history. We find that a fraction >~50% of all GRBs on the sky originate at a redshift z >~5, even though the fraction of the total stellar mass formed by z~5 is only ~15%. These two fractions are significantly different because they involve different cosmological factors when integrating the star formation rate over redshift. Hence, deep observations of transient events, such as GRB afterglows or supernovae, provide an ideal strategy for probing the high-redshift universe. We also show that the intrinsic distribution of GRB durations is bimodal but significantly narrower and shifted towards shorter durations than the observed distribution.